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Finding the Fourth Proportional to 6,972.66, 10,454.10 and 2,588.94

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Solution

The fourth proportional to 6,972.66, 10,454.10 and 2,588.94 is: 3,881.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.66 : 10,454.10 = 2,588.94 : x
  2. Step 2: Convert to fraction form
    6,972.66/10,454.10 = 2,588.94/x
  3. Step 3: Cross multiply
    6,972.66x = 10,454.10 × 2,588.94
  4. Step 4: Simplify right side
    6,972.66x = 27,065,037.65
  5. Step 5: Solve for x
    x = 27,065,037.65/6,972.66
  6. Step 6: Final answer
    x = 3,881.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.